We now compare and contrast the 2D-KRK response propagation determined above in Section  with the 1D-KRK response from previous work. To enable a direct comparison, we write the 1D solution from [1]} with only a forcing disturbance as
\(h(x,z) =t\frac{\left|V_x-c_x\right|}{2B}\left[S\left(\frac{\left|V_x-c_x\right|}{2B^{\frac{1}{2}}}t^{\frac{1}{2}}\right)-C\left(\frac{\left|V_x-c_x\right|}{2B^{\frac{1}{2}}}t^{\frac{1}{2}}\right)\right]\left[A\right]\\+\frac{1}{\sqrt{\pi }}\cos \left[\frac{\pi }{4}-\frac{(V_x-c_x)^2t}{4B}\right]\left(\frac{A}{\sqrt{B}}t^{\frac{1}{2}}\right),\) 
